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Find the missing part.

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Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box Rele class=

Respuesta :

Calculation of x:

we can see that

x is hypotenuse

so, we can use pythagoras theorem

[tex] x=\sqrt{8^2+10^2} [/tex]

[tex] x=2\sqrt{41} [/tex]

Calculation of y:

we can use tan formula to find it

opposite=8

adjacent=10

[tex] tan(y)=\frac{8}{10} [/tex]

[tex] y=tan^{-1}(\frac{8}{10}) [/tex]

[tex] y=38.65degree [/tex]

Calculation of z:

we know that sum of all angles of any triangle is 180

[tex] y+z+90=180 [/tex]

[tex] z=51.35degree [/tex]...........Answer